COURSE INFORMATION PACKAGE · MAT261
Linear Algebra I
Compulsory · French Open to Erasmus+ exchange students
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Content Weekly Contents Assessment System Relation of Proficiency ECTS
Course Instructor(s)
Meral TOSUN
mtosun@gsu.edu.tr
mtosun@gsu.edu.tr
Content
Objective
Teach the basics on Linear Algebra.
Course Learning Outcomes
- Having sufficient knowledge on the domain (vector spaces, linear maps, matrices, determinant) and doing some calculation with these knowledge.
- Being capable to do some essential proofs on Linear algebra.
- Analysing and solving some theoretical problems on Linear Algebra.
Weekly Contents
| Week | Weekly Contents |
|---|---|
| 1 | Fields |
| 2 | Vector spaces-Subspaces |
| 3 | Basis-Dimension |
| 4 | Direct sum |
| 5 | Linear transformations-Image-Kernel |
| 6 | Matrix of Linear transformations-Matrices |
| 7 | Exam-Change of Basis |
| 8 | Inversibles matrices-Elementary matrices |
| 9 | System of Linear Equations |
| 10 | Subspaces of row and column- Rank-Theorems about ranks |
| 11 | Determinant |
| 12 | Cofactor and Cramer methods |
| 13 | Gauss method |
| 14 | Calcul of determinant |
Assessment System
| Activities | Number | Contribution |
|---|---|---|
| Contribution of in-term studies to overall grade | 2 | 50 |
| Contribution of final exam to overall grade | 1 | 50 |
| Total | 3 | 100 |
| Activities | Number | Contribution |
|---|---|---|
| Assignments | 3 | 5 |
| Presentation | 0 | 0 |
| Midterm Examinations (including preparation) | 16 | 30 |
| Project | 0 | 0 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 2 | 15 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Total | 21 | 50 |
Relation of Proficiency
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | understands principles of deductive reasoning; has experience to verify well-foundedness and exactness of mathematical statements in systematic ways; | X | ||||
| 2 | can properly state and use concepts and results of major mathematical interest; | X | ||||
| 3 | masters current computational techniques and algorithms; has a good ability in their use; can identify relevant tools, among those one has learned, suitable to solve a problem and is able to judge whether or not one is in possession of these tools; | X | ||||
| 4 | is able to express one’s mathematical ideas in an organised way both in written and oral forms; | X | ||||
| 5 | understands relations connecting substantial concepts and results; can switch from one viewpoint to another on mathematical objects (pictures, formulae, precise statements, heuristic trials, list of examples,...); | X | ||||
| 6 | has followed individually a guided learning strategy; has pursued steps toward the resolution of unfamiliar problems; | X | ||||
| 7 | has a theoretical and practical knowledge in computer science well adapted for learning a programming language; | X | ||||
| 8 | has investigated the relevance of modeling and using mathematical tools in natural sciences and in the professional life; is conscious about historical development of mathematical notions; | X | ||||
| 9 | has followed introduction to some mathematical or non-mathematical disciplines after one’s proper choice; had experience to learn selected subjects according to one’s proper arrangement; | X | ||||
| 10 | masters French language as well as other foreign languages, to a level sufficient to study or work abroad. | X | ||||
ECTS
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 70 | 14 | 980 |
| Working Hours out of Class | 15 | 90 | 1350 |
| Assignments | 3 | 6 | 18 |
| Midterm Examinations (including preparation) | 2 | 14 | 28 |
| Quiz | 2 | 4 | 8 |
| Total Workload | 2384 | ||
| Total Workload / 25 | 95.36 | ||
| Credits ECTS | 95 | ||